We have calculated the dynamics of mass loss from a disk galaxy with t
he escaping high energy component of the ISM (cosmic rays), and the ma
gnetic field. The coupling between cosmic rays and plasma is provided
by the resonant excitation of small-scale magnetic field fluctuations
(MHD waves). Earlier work is generalized by including galactic rotatio
n and the resulting magnetic tension of the frozen-in field. It is sho
wn that nonlinear damping of self-excited waves in the galactic halo i
s significant, thus heating the plasma. We obtain steady-state galacti
c wind solutions with a moderate enhancement of the galactic mass loss
rate in comparison with a non-rotating and undamped model. A qualitat
ive new result of this theory is the determination of the angular mome
ntum loss rate of a galaxy. Due to magnetic stresses, this exceeds the
angular momentum carried away by the fluid elements leaving the galax
y. Thus the halo is forced to corotate with the disk up to a vertical
distance of a few kiloparsecs, typically. Quantitatively, for our Gala
xy, we find that over a Galactic evolution time scale of 10(10) years
about 17 to 39 percent of the total angular momentum (including the st
ellar component) is lost. The corresponding numbers due to magnetic st
resses alone are about 2 to 17 percent. Since the star formation rate
is likely to have been significantly larger in the past, it seems inev
itable that galaxies like ours have lost a significant amount of their
present angular momentum.